Evaluate the expression x²-3y +12 for x= -2 and y = 5

For the month of June, Mae Green budgeted the following amounts: $180 for food, $475 for rent, $15 for transportation, $50 for i

tester [12383]

Question 1

Total budget sums up to 180 + 475 + 15 + 50 + 65 + 25 + 150 + 30 = $990.
Actual expenditure amounts to 182 + 475 + 12 + 65 + 68 + 12.50 + 150 + 36 = $1000.5.

Mae Green surpassed her designated budget.

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Question 2

Eleanor:
Earned = 380.48
Spent = 16.50

Peter:
Earned = 120 + 13.65 + 100 = 233.65.

Combined total income = 233.65 + 380.48 - 16.50 = 597.63.

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Question 3

Aggregate expenditure = 540 + 48.55 + 34.15 + 12.80 + 18.95 + 38.60 + 2 + 6.50 = 701.55.

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Question 4

Marie's updated balance = 250.65 - [21.95+48.50+75.60] + 55 = $159.50.

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Question 5

[235/825] × 100 = 28.48%

4 1

2 months ago

Read 2 more answers

Students have organized

tester [12383]

Answer:

Part A. At least 6 hours

Part B. In less than 2.5 hours, Elijah will fall behind Mercedes

Part C. In over 2.5 hours, Elijah will lead Aubrey

Step-by-step explanation:

D = distance

v = speed

t = time

Formula connecting D, v, and t:

$D=v\cdot t$

Part A.

Steve's speed: $v=3.5\ mph$

Distance: a minimum of 21 miles

Time: unknown, so

$3.5\cdot t\ge 21\\ \\35t\ge 210\ [\text{Multiplied by 10}]\\ \\t\ge \dfrac{210}{35}\\ \\t\ge \dfrac{30}{5}\\ \\t\ge 6$

It would require Steve a minimum of 6 hours to traverse at least 21 miles on Day 1.

Part B.

Mercedes's speed: $v_M=2.4\ mph$

Elijah's speed: $v_E=3.2\ mph$

Elijah's Distance walked: $D_E$ miles

Mercedes's Distance walked: $D_M$ miles

Time: x hours

Mercedes is 2 miles ahead, therefore

$D_E=3.2x\\ \\D_M=2.4x+2$

Elijah will trail behind until

$D_E$

In 2.5 hours, Elijah will close the gap on Mercedes, and in less than 2.5 hours, Elijah will trail behind her.

Part C.

Aubrey's speed: $v_M=3\ mph$

Elijah's speed: $v_E=3.2\ mph$

Elijah's Distance walked: $D_E$ miles

Aubrey's Distance walked: $D_A$ miles

Time: x hours

At the beginning of Day 3, Elijah starts from Mile 42, while Aubrey begins at Mile 42.5.

$D_E=42+3.2x\\ \\D_A=42.5+3x$

Elijah will be ahead of Aubrey when

$D_E>D_A\\ \\42+3.2x> 42.5+3x\\ \\3.2x-3x>42.5-42\\ \\0.2x>0.5\\ \\2x>5\ [\text{Multiplied by 10}]\\ \\x>\dfrac{5}{2}\\ \\x>2.5\ hours$

In 2.5 hours, Elijah will surpass Aubrey, and after more than 2.5 hours, Elijah will outpace Aubrey.

4 0

3 months ago

Susan Sound predicts that students will learn most effectively with a constant background sound, as opposed to an unpredictable

AnnZ [12381]

An ANOVA test is the appropriate method. Step-by-step explanation: The ANOVA test, which assesses the means of more than two samples, will be applied here. Given that three different test groups were utilized, this statistical test will be necessary for determining if the means are the same. Note that this test merely informs us of the means' equality, not which mean surpasses the others; for that determination, three separate hypothesis tests would be required, comparing two means at a time.

8 0

1 month ago

If LM = 22 and MN = 15, find LN

AnnZ [12381]

If point M is located on segment LN, then using the segment addition postulate, we have:

LN is equal to LM plus MN
LN = 22 + 15
Therefore, LN = 37

8 0

3 months ago

Read 2 more answers

The three angle bisectors of ΔABC meet at P. Drag the vertices around to form different triangles, and then make a conjecture. W

tester [12383]

The conclusions are - XP=YP for an acute triangle, YP=ZP for an obtuse triangle, XP=YP for an obtuse triangle.

5 0

1 month ago

Read 2 more answers

Evaluate the expression x²-3y +12 for x= -2 and y = 5​

Evaluate the expression x²-3y +12 for x= -2 and y = 5